Name
Abstract | ||
|---|---|---|
We construct a new type of quantum walks on simplicial complexes as a natural extension of the well-known Szegedy walk on graphs. One can numerically observe that our proposing quantum walks possess linear spreading and localization as in the case of the Grover walk on lattices. Moreover, our numerical simulation suggests that localization of our quantum walks reflects not only topological but also geometric structures. On the other hand, our proposing quantum walk contains an intrinsic problem concerning exhibition of non-trivial behavior, which is not seen in typical quantum walks such as Grover walks on graphs. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s11128-016-1247-6 | Quantum Information Processing |
Keywords | Field | DocType |
Quantum walk,Simplicial complexes,Tethered and movable quantum walks | Graph,Lattice (order),Computer simulation,Quantum mechanics,Theoretical physics,Quantum walk,Quantum algorithm,Physics | Journal |
Volume | Issue | ISSN |
15 | 5 | 1570-0755 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kaname Matsue | 1 | 5 | 2.98 |
| osamu ogurisu | 2 | 0 | 0.34 |
| Etsuo Segawa | 3 | 27 | 10.11 |